Researchers at the University of Mississippi wanted to learn the reaction times of students to different stimuli. In the following data, the reaction times for subjects were measured after they received a simple stimulus and a go/no-go stimulus. The simple stimulus was an auditory cue, and the time from when the cue was given to when the student reacted was measured. The go/no-go stimulus required the student to respond to a particular stimulus and not respond to other stimuli. Again, the reaction time was measured. The following data were obtained:

The researchers used Minitab to test whether the simple stimulus had a lower reaction time than the go/no-go stimulus. The results of the analysis are as follows:

(a) State the null and alternative hypotheses.
(b) Is the median reaction time for the go/no-go stimulus higher than the median reaction time for the simple stimulus? Use the α = 0.05 level of significance. Why?

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Go/No-Go Subject Simple Go/No-Go Number Subject Simple Number 1. 0,220 0.375 16 0.498 0.565 0.430 1.759 17 0.262 0.402 0.643 0.338 0.652 18 0.620 0.266 0.467 19 0.300 0.351 0.381 0.651 20 0.424 0.380 0.738 0.442 21 0.478 0.434 0.885 1.246 22 0.305 0.452 0.683 0.224 23 0.281 0.745 0.250 0.654 24 0.291 0.290 10 0.255 0.442 25 0.453 0.790 0.792 11 0.198 0.347 26 0.376 0.352 0,613 12 0.698 27 0.328 0.285 13 0.803 28 0.952 1.179 14 0.259 0.488 29 0.355 0.636 15 0.200 0.281 30 0.368 0.391 Wilcoxon Signed-Rank Test Test of median = 0.000000 versus median 0.000000 wilcoxon N for Test statistic Estimated Median difference 30 30 408.0 0.000 1.1920